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131002100 = 22527118451
BaseRepresentation
bin1111100111011…
…10111011110100
3100010111121002122
413303232323310
5232014031400
620555455112
73150333215
oct763567364
9303447078
10131002100
1167a468a9
1237a57498
13211a9948
141358140c
15b77a685
hex7ceeef4

131002100 has 36 divisors (see below), whose sum is σ = 288294048. Its totient is φ = 51660000.

The previous prime is 131002097. The next prime is 131002103. The reversal of 131002100 is 1200131.

It is an interprime number because it is at equal distance from previous prime (131002097) and next prime (131002103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2126 + ... + 16325.

It is an arithmetic number, because the mean of its divisors is an integer number (8008168).

Almost surely, 2131002100 is an apocalyptic number.

131002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131002100 is an abundant number, since it is smaller than the sum of its proper divisors (157291948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131002100 is a wasteful number, since it uses less digits than its factorization.

131002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18536 (or 18529 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 131002100 is about 11445.6148808179. The cubic root of 131002100 is about 507.8780216363.

Adding to 131002100 its reverse (1200131), we get a palindrome (132202231).

The spelling of 131002100 in words is "one hundred thirty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 18451 36902 73804 92255 184510 369020 461275 922550 1310021 1845100 2620042 5240084 6550105 13100210 26200420 32750525 65501050 131002100